Whakaoti i te 5/6:3/16=x:9/4

$$\frac { 5 } { 6 } : \frac { 3 } { 16 } = x : \frac { 9 } { 4 }$$

Whakaoti mō x

$$x=10$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawehe \frac{5}{6} ki te \frac{3}{16} mā te whakarea \frac{5}{6} ki te tau huripoki o \frac{3}{16}.

$$\frac{5}{6}\times \frac{16}{3}=\frac{x}{\frac{9}{4}}$$

Me whakarea te \frac{5}{6} ki te \frac{16}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{5\times 16}{6\times 3}=\frac{x}{\frac{9}{4}}$$

Mahia ngā whakarea i roto i te hautanga \frac{5\times 16}{6\times 3}.

$$\frac{80}{18}=\frac{x}{\frac{9}{4}}$$

Whakahekea te hautanga \frac{80}{18} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{40}{9}=\frac{x}{\frac{9}{4}}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$\frac{x}{\frac{9}{4}}=\frac{40}{9}$$

Me whakarea ngā taha e rua ki te \frac{9}{4}.

$$x=\frac{40}{9}\times \frac{9}{4}$$

Me whakarea te \frac{40}{9} ki te \frac{9}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{40\times 9}{9\times 4}$$

Me whakakore tahi te 9 i te taurunga me te tauraro.

$$x=\frac{40}{4}$$

Whakawehea te 40 ki te 4, kia riro ko 10.

$$x=10$$